3x^2=8x-6

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Solution for 3x^2=8x-6 equation:


Simplifying
3x2 = 8x + -6

Reorder the terms:
3x2 = -6 + 8x

Solving
3x2 = -6 + 8x

Solving for variable 'x'.

Reorder the terms:
6 + -8x + 3x2 = -6 + 8x + 6 + -8x

Reorder the terms:
6 + -8x + 3x2 = -6 + 6 + 8x + -8x

Combine like terms: -6 + 6 = 0
6 + -8x + 3x2 = 0 + 8x + -8x
6 + -8x + 3x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -8x + 3x2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
2 + -2.666666667x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -2.666666667x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -2.666666667x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2.666666667x + x2 = 0 + -2
-2.666666667x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-2.666666667x + x2 = -2

The x term is -2.666666667x.  Take half its coefficient (-1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
-2.666666667x + 1.777777780 + x2 = -2 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667x + x2 = -2 + 1.777777780

Combine like terms: -2 + 1.777777780 = -0.22222222
1.777777780 + -2.666666667x + x2 = -0.22222222

Factor a perfect square on the left side:
(x + -1.333333334)(x + -1.333333334) = -0.22222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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